Central limit theorems for nonlinear hierarchical sequences of random variables

1999/10/13 by Jung M. Woo, Jung Min Woo, Jan Wehr +2 · 1 citation
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #advanced mathematical theories #cond-mat.dis-nn

paper · pdf · doi:10.48550/arxiv.cond-mat/9910202

18 pages, no figure

arxiv created 1999/10/13 · openalex publication_date 1999/10/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study central limit theorems for certain nonlinear sequences of random variables. In particular, we prove the central limit theorems for the bounded conductivity of the random resistor networks on hierarchical lattices.

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